研究目的
To develop a finite element formulation for composite beams with photostrictive actuators and propose an optimal fuzzy active control algorithm to resolve the contradiction between linear control methods and the nonlinear actuating characteristics of photostrictive actuators for multi-mode vibration suppression.
研究成果
The developed finite element formulation is accurate and effective for mechanical analysis. The optimal fuzzy active control algorithm successfully suppresses multi-mode vibrations in composite beams under various boundary conditions, outperforming optimal state feedback control. Higher LQR parameter k values lead to faster vibration reduction. The method can be extended to plate and shell structures and provides insights for controlling other nonlinear systems.
研究不足
The hysteresis problem between the photoelectric field and the photo-induced strain of PLZT is not considered. The study assumes no structural damping, and the method may require further validation for more complex structures or real-world applications.
1：Experimental Design and Method Selection:
A finite element model is developed for composite beams laminated with photostrictive actuators, incorporating multi-field coupling. An optimal fuzzy control algorithm combining LQR optimal control and fuzzy logic is designed to handle nonlinearities in actuator response.
2：Sample Selection and Data Sources:
A four-ply composite beam with specific material properties and dimensions is used as the sample. PLZT actuators are attached to the beam surfaces.
3：List of Experimental Equipment and Materials:
Composite beam materials (elastic moduli, densities, dimensions), PLZT actuators (parameters such as elastic modulus, piezoelectric strain constant), and simulation tools (FORTRAN program, ANSYS for validation).
4：Experimental Procedures and Operational Workflow:
Static and modal analyses are performed to validate the finite element model. Vibration control simulations are conducted under different boundary conditions (simply supported, cantilever, clamped-clamped) with applied loads. The Newmark-beta method is used for time integration with a step size of 0.0001 s.
5：0001 s.
Data Analysis Methods:
5. Data Analysis Methods: Modal analysis to obtain natural frequencies, comparison with ANSYS results for validation, and evaluation of vibration suppression effectiveness through displacement and frequency response curves.
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